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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Thu, 17 Oct 2024 16:04:46 -0700
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On 10/17/2024 1:29 PM, Moebius wrote:
> Am 17.10.2024 um 22:21 schrieb Chris M. Thomasson:
> 
>>> [...] there is definitely _both_ the
>>> "asymptotic density" AND the "countable cardinality".
> 
> Ross is right here.

Is this fair enough? Wrt the strict rules of the evens:

{ 2, 4, 6, 8, ... }

And the naturals:

{ 1, 2, 3, 4, ... }

there is are no gaps between them. Wrt the evens there is no even 
between 2 and 4. Wrt naturals there is no number between 1 and 2. 
Strictly speaking, of course.

The evens:

{ 1*2, 2*2, 3*2, 4*2, ... }

The naturals and the evens are all showing. Not dark WM... ;^)


> 
>> if you double any natural number, you get another natural number.
> 
> Of course. WM is deluded.